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If x is odd, all EXCEPT which one of the following must be o

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sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

If x is odd, all EXCEPT which one of the following must be o [#permalink]

30 Aug 2018, 16:23

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If x is odd, all EXCEPT which one of the following must be odd?

(A) \(x^2 + 4x + 6\)
(B) \(x^3 + 5x + 3\)
(C) \(x^4 + 6x + 7\)
(D) \(x^5 + 7x + 1\)
(E) \(x^6 + 8x + 4\)

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Arc29

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Joined: 10 Aug 2018

Posts: 29

Re: If x is odd, all EXCEPT which one of the following must be o [#permalink]

31 Aug 2018, 21:56

Please explain how the answer is C?

sandy

Retired Moderator

Joined: 07 Jun 2014

Posts: 4805

GRE 1: Q167 V156

WE:Business Development (Energy and Utilities)

Re: If x is odd, all EXCEPT which one of the following must be o [#permalink]

01 Sep 2018, 15:08

Expert Reply

Explanation

For even and odd questions, you can either think it out logically or plug in a number. Since one choice requires raising the number to the 6th power, pick something small! Plug in x = 1:

(A) \(x^2 + 4x + 6 = 1 + 4 + 6 = 11\)
(B) \(x^3 + 5x + 3 = 1 + 5 + 3 = 9\)
(C) \(x^4 + 6x + 7 = 1 + 6 + 7 = 14\)
(D) \(x^5 + 7x + 1 = 1 + 7 + 1 = 9\)
(E) \(x^6 + 8x + 4 = 1 + 8 + 4 = 13\)
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GR3A

Manager

Joined: 02 Sep 2019

Posts: 177

Concentration: Finance

GRE 1: Q151 V148

GPA: 3.14

Re: If x is odd, all EXCEPT which one of the following must be o [#permalink]

07 Aug 2021, 08:49

The question is asking which of the following choices do not equal odd.
all EXCEPT which one of the following must be odd?
Pick 1 as value for x, all answers provide odd result except C it is even.